Integrable Systems 2013

Thank you to all of our speakers and visitors for the success of our first workshop. We hope you enjoyed your visit.

Our first workshop was held at the School of Mathematics and Statistics, The University of Sydney on 2 December 2013. Nine lectures on a range of interesting topics were delivered by Kenji Kajiwara, Hidetaka Sakai, Yasuhiko Yamada, Peter Vassilou, Geoff Prince, Omar Foda, John Roberts, Renoit Quispel and Holger Dullin.

We report some recent results on the deformation of discrete space curves described by the discrete mKdV or the discrete sine-Gordon equations. We show that it is formulated as the torsion-preserving isoperimetric and equidistant deformation on the osculating plane. This is a collaborated work with J. Inoguchi, N. Matsuura and Y. Ohta.

We will discuss quantized Lax pairs for Painlevé and Garnier equations. Using their relation to the conformal field theory, we formulate integral formulae for some special solutions of the Lax linear problems. General series solutions will be also considered.